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Finding the Fourth Proportional to 108,976.07, 162,986.03 and 97,052.30

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Solution

The fourth proportional to 108,976.07, 162,986.03 and 97,052.30 is: 145,152.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,976.07 : 162,986.03 = 97,052.30 : x
  2. Step 2: Convert to fraction form
    108,976.07/162,986.03 = 97,052.30/x
  3. Step 3: Cross multiply
    108,976.07x = 162,986.03 × 97,052.30
  4. Step 4: Simplify right side
    108,976.07x = 15,818,169,079.37
  5. Step 5: Solve for x
    x = 15,818,169,079.37/108,976.07
  6. Step 6: Final answer
    x = 145,152.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.